a. Let z1 = 2 – 3i, z2 = 3 + 4i and z3 = 1– V3i. Find z1z2 + z3 then sketch it on Argand diagram.

Q: If O be the origin and OP = 2i+ 3j - 4k and OQ = 4į – j – 3k, then PQ is equal to %3D %3D 3i +j+k 2i…

A: We need to find the vector PQ.

Q: Given z = -5+ 3i and z2 = 3 – 6i, express in the form a + bi %3D i. 4z1* – Z2 ii. Z2

A: Complex Cartesian form

Q: In ADEF, K is the centroid. If KJ=22 find EJ. E G H K D F J

A: Centroid of a triangle devides the each median into 2:1 ratio.

Q: 2. Given A = {1,2,3}, B = {7,apple, .5} and C = {r|x < 3 and r 2 -1}, compute the following %3D %3D…

A:

Q: (c) Compute the distance in AU between the points (x,0) = (1.24,0) and (1.24, 7)

A: Given: The coordinate transformation, x=Rsinhχsinθcosϕ y=Rsinhχsinθsinϕ z=Rcoshχcosθ The plane…

Q: L 0, and C = [1 -1]. Let A = B = %3D -2 3 Then 2BC + AT = %3D

A:

Q: Let a=3i-2j, b=-i+4j, r=7i-8j. If r=ka+mb, then k+m=... 1. O -1 2. O 2 3. О 1 4. O 3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: In AAEC, G is the centroid. 6. D 世 B If EG = 6, find GB. O 2 O 3 O 6

A: Centroid of a triangle is the point of intersection of the medians of the triangle.  Centroid…

Q: Find midpoint M of P,P2, which joins P1(5, -7, 2) and P2(2, 5, 6), as shown in Figure 10.46 of…

A: Formula used : Mid-point formula Mx1+x22,y1+y22,z1+z22 Here (x1,y1,z1) and (x2,y2,z2) are the end…

Q: Determine the reduced row echelon form of

A: Conditions for row echelon form : The leading coefficient i..e the first non-negative value from…

Q: Sketch z =- 2cos y in R3

A: The expression y=cos(x) will give the graph of a cosine curve in the x-y plane, with the value of y…

Q: 4. Evaluate . F.ds , where C is the triangle with vertices (1,0,0), (0,2,0), and (0,0,3) oriented by…

A:

Q: Graph the image of ALM after a reflection across the line y = -x. 10 8. N. 2. -10 -8 -4 2 L 4 8. 10…

A: This is a graph problem

Q: Evaluate fr z sin(z2) dz where I is the union of the directed line segment that joins the origin to…

A:

Q: Given z = 2 cis 315°, find 2° using De Moivre's Theorem. Select the correct answer below: O 32/2+ 32…

A: We have to find

Q: Given 3 y₁ = x²³₁ (0,00) is soln to x²y²-6y=0 find y₂ and show linea independence.

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Q: By sketching the appropriate loci on an Argand diagram, find the value of z that satisfies |z|=13…

A: For the solution follow the next step.

Q: baphress -4i in esponenial form reio the Qunge OLOC2TI in

A:

Q: Find the imaginary component of In(2z + w) if z = 11 + 9i and w=10+4i .

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Q: (IV). (10') Let u : 3 Find the coordinates of x with and x = respect to uj and u2.

A:

Q: Points E, F, G, H, and J lie on 00. H a. mEF 2 and MEHF %3D b. Suppose JH = HG. theorem that…

A: given: E,F,G,H,J lie on OTo find:…

Q: given z=1-8i and w=3+5i, find the following. a.   zw b.   conjugate of w. c.   z+w

A: Complex number

Q: graph the points z = x + iy that satisfy the given conditions. 5. |z + 1| = 1 6. |z + i |= |z - 1|

A: Hi there, at a time we can answer only one question at a time and the exact one was not specified.…

Q: In AEFG, L is the centroid. If LJ=9 find EL. H J E K

A: We have given a triangle. In which LJ is the centroid. And we have to find EL

Q: For what value of Ⓒ is cotⒸ undefined? 1.0⁰ II. 180° III. 270⁰ Olonly OI and III only OI and II only…

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: 2 A = 1+i 3

A: Given matrix is A=21+i1-i3 let the eigenvalue is λ. So…

Q: Which of the following points are collinear to (1,0) and (3,6)? Show graphically and analytically.…

A:

Q: Show that the points D(0, 3), E(−2, 7), and F(2, 9) are the vertices of a right triangle. mDE  =…

A:

Q: Consider, 21u = 2x – 3y and 21v = -–x+y Find the value of the Jacobian a (x, y) a (u, v)

A: 21 u = 2x - 3y, 21 v = -x + y

Q: The energy stored 'W' in an inductor is given by W (10 * 10-3)te-2dt %3D

A: Given query is to find the value of the integral.

Q: k! CO %3D 104k

A: Given Series ∑k=0∞k!104k

Q: 11T 60. Given that sec 12 13T V2 - V6, determine the value of sec 12

A:

Q: Identify the coordinates of P' after a reflection over the x-axis. O (5, 1) O (-5, -1) O(-5, 1) O…

A: Given

Q: Given the states lp) = 3|0) – 2i|1) and |ø) = |0) + 5|1) , (a) Show that these states obey the…

A:

Q: N is the centroid of triangle HIJ. If KN=9, IM=15 and LN=5. Find KJ K. N/

A:

Q: Find the resolvent kernel and Solut of ya) = I+5(1-3x+).y(t).d by Alternative procedure

A: Given Integral equation is y(x)=1+∫01(1-3xt)y(t)dt               (1) The general form of integral…

Q: Find the projection of b = 5i – k onto à = i+ 2j+ 3k. %3D

A: We have to find the projection of →b on →a

Q: Given: A e M2x2(R). a. Given T: M2x2 (R) → M2x2 (R) as T(M) = AM, prove that rank (T) = 2rank(A). b.…

A:

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: (ii) e*u + e'u„ = u XX yy

A:

Q: 4. let f(x, y) = x² – xy + y² – y. find the direction u and Duf at Po(1,–1) for which Duf is the…

A: Given:- f(x, y) = x2 -xy+y2 -y To find:- Direction u and Du f at point p0 (1, -1) for which Du f is…

Q: 12. What is the resulting image of L' after a reflection about the y-axis? Rule: K IN

A:

Q: 59 An Analysis of antenna radiation patterns for a system with cir- cular aperture involves the…

A: Given equation is, gu=∫01frJ0urrdr Where, fr=1-r2 We know that ,Jnx=∑k=0∞-1kk!n+k+1!x2n+2k Thus…

Q: . Let A- ( 7) B-(: :) and B = %3D 3 For what values of t is 2A+B invertible?

A: The inverse of a matrix A is defined as the matrix A-1, that satisfies the condition AA-1=A-1A=I. If…

Q: Solve the following PDE: a. Ux = Uy + u %3D a²u a²u b. 44. at2

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Q: 1234 5678 9 10 11 12 13 14 Find the coordinates of the image J (8, 7) after a reflection over the…

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Q: 2. find the the following equation in simplest arbi Saution set of form. X-3x + 9 = 5Y-10

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Q: Given z1= j3 and z2 =(4+j2), perform the multiplication for z= z1 · 2. Then, draw the Argand diagram…

A: Since you have asked multiple questions in a single request we will be answering only first question…

Q: Suppose NOL -> QRM is a reflection across the x-axis. If O(1, 9) what is the y coordinate of R?

A: